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viktelen [127]
3 years ago
6

Diego deposited a certain sum of money in a bank 2 years ago. If the bank had been paying interest at the rate of 8% compounded

continuously and he has $13,000 on deposit today, what was his initial deposit? (Round your answer to the nearest cent.)
Business
1 answer:
igomit [66]3 years ago
4 0

Answer:

Diego's initial deposit is $11,111

Explanation:

Let A be the initial deposit Diego made

The amount he will get after two years with continuously compounded interest rate 8% is given by

V = A e^{rt}

Where r is the annual interest rate and t is the number of years (2)

And the actual amount he receive is 13,000

So A = \frac{V}{e^{0.08\times2} } = 13,000 / 1.17 = $11,111

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Choose the correct statement. A. Income tax creates a deadweight loss in the markets for capital and labor. B. Income tax is a t
mixer [17]

Answer:

The correct answer is option A.

Explanation:

Income tax is a tax imposed by the government on the income earned by the individuals. This income can be from capital and labor. It creates a deadweight loss in the market for labor and capital.

Deadweight loss is the loss to economic efficiency and production caused by a tax. The imposition of a tax creates a tax wedge, this tax wedge leads to a deadweight loss. Deadweight loss due to income tax is the loss of purchasing power or reductions standard of living due to tax.  

The inefficiency or tax burden depends upon the elasticities of demand and supply. Whoever has the least elasticity will share most of the tax burden.

7 0
4 years ago
An investment of $1 each in two different securities led to a value of $11 (Security A) and $16 (Security B), respectively, afte
jonny [76]

Answer:

A

Explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

Security A : 11 = 1( 1 + r)^15

11^(1/15) =  1( 1 + r)

1.173 = 1 + r

r = 1.173 - 1

r = 17.33%

Security A : 16 = 1( 1 + r)^15

16^(1/15) =  1( 1 + r)

1.20 = 1 + r

r = 1.2 - 1

r = 0.2

r = 20%

Security B earned a higher average annual rate of return as 20% is greater than 17.33%

3 0
3 years ago
Rent is $1,258. Phone charges last month were $46.88. Groceries cost about $115/week. What is a good estimate of your monthly ex
Papessa [141]

I'd say $1,807.00 (C)

6 0
3 years ago
On August 5, 2021, Blossom Furniture shipped 50 dining sets on consignment to Furniture Outlet, Inc. The cost of each dining set
Gennadij [26K]

Answer:

$15,960

Explanation:

The total profit on units sold for the consignor:

= Sales Value - Cost of Goods Sold - Shipping Expenses - Commission - Advertising Expenses - Installation and setup costs

= (40 × $720) - (40 × $220) - [$1,850 × (40/50)] - ($28,800 × 5%) - $470 - $650

= $28,800 - $8,800 - $1,480 - $1,440 - $470 - $650

= $15,960

5 0
3 years ago
if the market risk premium is 7%, the risk-free rate is 2% and the beta of a stock is 2.0, what is the expected return of the st
Len [333]

Expected return of the stock is greater than 12%.

Using formula, Risk free rate + beta (market risk rate - risk free rate)\

= 2% + 2.0 (7%-2%)

= 13.6 - 0.4* risk premium

Risk premium of a stock is greater than 12%.

A stock's total return takes into account both capital gains and losses as well as dividend income, as opposed to a stock's nominal return, which only displays its price movement. In addition to considering the actual rate of return, investors should consider their ability to withstand the risk involved with a given investment. An investment's return on investment (ROI) provides a general indication of its profitability. The return on investment (ROI) is calculated by subtracting the investment's initial cost from its final value, dividing the result by the cost of the investment, and finally multiplying the result by 100.

Note that the full question is:

If the market risk premium is 7%, the risk-free rate is 2% and the beta of a stock is 2.0, what is the expected return of the stock?

A. less than 12%.

B. 12%.

C. greater than 12%.

D. cannot be determined.

To learn more about returns: brainly.com/question/24301559

#SPJ4

3 0
1 year ago
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